An exponential function does not create a linear shape on a graph. Instead, it produces a curve that either rises or falls rapidly, depending on whether the base of the exponent is greater than or less than one. The graph is characterized by its continuous and smooth nature, exhibiting either exponential growth or decay. Additionally, it does not form any circular or parabolic shapes, which are seen in other types of functions.
If the Object is falling at a constant velocity the shape of the graph would be linear. If the object is falling at a changing velocity (Accelerating) the shape of the graph would be exponential- "J' Shape.
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An exponential graph typically has a characteristic J-shaped curve. It rises steeply as the value of the independent variable increases, particularly for positive bases greater than one. If the base is between zero and one, the graph decreases towards the x-axis but never touches it, creating a decay curve. Overall, exponential graphs show rapid growth or decay depending on the base value.
The graph of a linear function is a straight line. It can have a positive slope, indicating an upward trend, or a negative slope, indicating a downward trend. The line can also be horizontal if the function has a slope of zero, representing a constant value. The overall shape is determined by the function's slope and y-intercept.
I don't understand your question but y=3x is the function of a graph, to graph the function you would plug points into the function such as x=0, x=1, x=-1 and you would find the y values at each point so that you can graph it. In this case the graph is a parabola which has a u shape.
If the Object is falling at a constant velocity the shape of the graph would be linear. If the object is falling at a changing velocity (Accelerating) the shape of the graph would be exponential- "J' Shape.
A monotonic transformation does not change the overall shape of a function's graph, but it can stretch or compress the graph horizontally or vertically.
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The graph of a linear function is a straight line. It can have a positive slope, indicating an upward trend, or a negative slope, indicating a downward trend. The line can also be horizontal if the function has a slope of zero, representing a constant value. The overall shape is determined by the function's slope and y-intercept.
I don't understand your question but y=3x is the function of a graph, to graph the function you would plug points into the function such as x=0, x=1, x=-1 and you would find the y values at each point so that you can graph it. In this case the graph is a parabola which has a u shape.
A Guassian function has a top in the middle and it's ends reach until infinity but the graph never touches the x axis. The location of the top depends on the parameters used.
Changing the constant in a function will shift the graph vertically but will not change the shape of the graph. For example, in a linear function, changing the constant term will only move the line up or down. In a quadratic function, changing the constant term will shift the parabola up or down.
It looks like a parabola which looks like a U shape.
A graph in which the curve of an appropriate function crosses the x-axis only once. The curve could be of any shape.
The growth rate of a function is related to the shape of an n log n graph in that the n log n function grows faster than linear functions but slower than quadratic functions. This means that as the input size increases, the n log n graph will increase at a rate that is between linear and quadratic growth.
A Cooling curve graph changes shape.